论文标题

Hanany-Witten Brane Crossing和ding-iohara-Miki代数

Hanany-Witten brane crossing and Ding-Iohara-Miki algebra

论文作者

Zenkevich, Yegor

论文摘要

我们进一步发展了ding-iohara-miki(DIM)代数和IIB型麸皮的表示之间的对应关系。特别是,我们明确计算了汉纳尼 - 型型5-Brane Crossing操作员,该操作员扮演$ r $ -matrix的角色,并具有有趣的组合属性。我们探索相应的晶格可集成模型,并注意到与平面分区的统计数据的可能连接。

We further develop the correspondence between representations of Ding-Iohara-Miki (DIM) algebra and Type IIB branes. In particular we explicitly compute the Hanany-Witten type 5-brane crossing operator which plays the role of the $R$-matrix and has interesting combinatorial properties. We explore the corresponding lattice integrable models and notice a possible connection with statistics of plane partitions.

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